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Pseudodifferential Analysis On Symmetric Cones
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Pseudodifferential Analysis On Symmetric Cones - neues Buch

ISBN: 9780849378737

ID: 16588893

Symmetric cones, possibly disguised under non-linear changes of coordinates, are the building blocks of manifolds with edges, corners, or conical points of a very general nature. Besides being a canonical open set of some Euclidean space, a symmetric cone L has an intrinsic Riemannian structure of its own, turning it into a symmetric space. These two structures make it possible to define on L a Symmetric cones, possibly disguised under non-linear changes of coordinates, are the building blocks of manifolds with edges, corners, or conical points of a very general nature. Besides being a canonical open set of some Euclidean space, a symmetric cone L has an intrinsic Riemannian structure of its own, turning it into a symmetric space. These two structures make it possible to define on L a pseudodifferential analysis (the Fuchs calculus). The considerable interest in pseudodifferential problems on manifolds with non-smooth boundaries makes the precise analyses presented in this book both interesting and important. Much of the material in this book has never been previously published. The methods used throughout the text rely heavily on the USE of tools from quantum mechanics, such as representation theory and coherent states. Classes of operators defined by their symbols are given intrinsic characterizations. Harmonic analysis is discussed via the automorphism group of the complex tube over L. The basic definitions governing the Fuchs calculus are provided, and a thorough exposition of the fundamental facts concerning the geometry of symmetric cones is given. The relationship with Jordan algebras is outlined and the general theory is illustrated by numerous examples. The book offers the reader the technical tools for proving the main properties of the Fuchs calculus, with an emphasis on using the non-Euclidean Riemannian structure of the underlying cone. The fundamental results of pseudodifferential analysis are presented. The authors also develop the relationship to complex analysis and group representation. This book benefits researchers interested in analysis on non-smooth domains or anyone working in pseudodifferential analysis. People interested in the geometry or harmonic analysis of symmetric cones will find in this valuable reference a new range of applications of complex analysis on tube-type symmetric domains and of the theory of Jordan algebras. Books, Science and Geography~~Mathematics~~Calculus & Mathematical Analysis, Pseudodifferential Analysis On Symmetric Cones~~Book~~9780849378737~~Harald Upmeier, Andre Unterberger, , , , , , , , , ,, [PU: CRC Press]

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Pseudodifferential Analysis on Symmetric Cones - Unterberger, Andre / Unterberger / Unterberger, Unterberger
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Symmetric cones, possibly disguised under non-linear changes of coordinates, are the building blocks of manifolds with edges, corners, or conical points of a very general nature. Besides being a canonical open set of some Euclidean space, a symmetric cone L has an intrinsic Riemannian structure of its own, turning it into a symmetric space. These two structures make it possible to define on L a pseudodifferential analysis (the Fuchs calculus). The considerable interest in pseudodifferential problems on manifolds with non-smooth boundaries makes the precise analyses presented in this book both interesting and important. Much of the material in this book has never been previously published. The methods used throughout the text rely heavily on the use of tools from quantum mechanics, such as representation theory and coherent states. Classes of operators defined by their symbols are given intrinsic characterizations. Harmonic analysis is discussed via the automorphism group of the complex tube over L. The basic definitions governing the Fuchs calculus are provided, and a thorough exposition of the fundamental facts concerning the geometry of symmetric cones is given. The relationship with Jordan algebras is outlined and the general theory is illustrated by numerous examples. The book offers the reader the technical tools for proving the main properties of the Fuchs calculus, with an emphasis on using the non-Euclidean Riemannian structure of the underlying cone. The fundamental results of pseudodifferential analysis are presented. The authors also develop the relationship to complex analysis and group representation. This book benefits researchers interested in analysis on non-smooth domains or anyone working in pseudodifferential analysis. People interested in the geometry or harmonic analysis of symmetric cones will find in this valuable reference a new range of applications of complex analysis on tube-type symmetric domains and of the theory of Jordan algebras. Pseudodifferential Analysis on Symmetric Cones Unterberger, Andre / Unterberger / Unterberger, Unterberger, CRC Press

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Pseudodifferential Analysis on Symmetric Cones (Studies in Advanced Mathematics) - Andre Unterberger, Harald Upmeier
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1995, ISBN: 9780849378737

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CRC Press, 1995-12-13. 1. Hardcover. Used:Good. Buy with confidence. Excellent Customer Service & Return policy. Ships Fast. 24*7 Customer Service., CRC Press, 1995-12-13

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Pseudodifferential Analysis on Symmetric Cones - Andre Unterberger; Harald Upmeier
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Pseudodifferential Analysis on Symmetric Cones - gebunden oder broschiert

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Details zum Buch
Pseudodifferential Analysis on Symmetric Cones
Autor:

Unterberger, Andre; Unterberger; Unterberger, Unterberger

Titel:

Pseudodifferential Analysis on Symmetric Cones

ISBN-Nummer:

This monograph is intended for use by researchers in pseudodifferential analysis. While the emphasis is mainly on analysis on nonsmooth domains the precision of the methods should be of interest to anyone working in pseudodifferential analysis. Also people interested in the geometry or harmonic analysis of symmetric cones will find here a new range of applications of complex analysis on tube-type symmetric domains and of the theory of Jordan algebras.

Detailangaben zum Buch - Pseudodifferential Analysis on Symmetric Cones


EAN (ISBN-13): 9780849378737
ISBN (ISBN-10): 0849378737
Gebundene Ausgabe
Erscheinungsjahr: 1995
Herausgeber: CRC PR INC
224 Seiten
Gewicht: 0,467 kg
Sprache: eng/Englisch

Buch in der Datenbank seit 29.06.2007 03:07:22
Buch zuletzt gefunden am 25.01.2017 20:47:20
ISBN/EAN: 0849378737

ISBN - alternative Schreibweisen:
0-8493-7873-7, 978-0-8493-7873-7


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